.25(x+40)-.07(x-10)=12.5

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Solution for .25(x+40)-.07(x-10)=12.5 equation: 


Simplifying
0.25(x + 40) + -0.07(x + -10) = 12.5

Reorder the terms:
0.25(40 + x) + -0.07(x + -10) = 12.5
(40 * 0.25 + x * 0.25) + -0.07(x + -10) = 12.5
(10 + 0.25x) + -0.07(x + -10) = 12.5

Reorder the terms:
10 + 0.25x + -0.07(-10 + x) = 12.5
10 + 0.25x + (-10 * -0.07 + x * -0.07) = 12.5
10 + 0.25x + (0.7 + -0.07x) = 12.5

Reorder the terms:
10 + 0.7 + 0.25x + -0.07x = 12.5

Combine like terms: 10 + 0.7 = 10.7
10.7 + 0.25x + -0.07x = 12.5

Combine like terms: 0.25x + -0.07x = 0.18x
10.7 + 0.18x = 12.5

Solving
10.7 + 0.18x = 12.5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10.7' to each side of the equation.
10.7 + -10.7 + 0.18x = 12.5 + -10.7

Combine like terms: 10.7 + -10.7 = 0.0
0.0 + 0.18x = 12.5 + -10.7
0.18x = 12.5 + -10.7

Combine like terms: 12.5 + -10.7 = 1.8
0.18x = 1.8

Divide each side by '0.18'.
x = 10

Simplifying
x = 10

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